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3 years ago

Solve by factoring. Check your answer.

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

4 0

Answer:

$x=0,4$

Step-by-step explanation:

Factor out the common terms from the given terms:

$x^2-4x=0$

You can factor out x from both:

$x(x-4)=0$

Rewrite, setting each equal to 0:

$(x)(x-4)=0\\\\x=0\\\\x-4=0$

Simplify the second equation by solving for x:

$x-4=0\\\\x-4+4=0+4\\\\x=4$

Therefore, x=0 or x=4

:Done

Virty [35]3 years ago

3 0

To factor, you split the equation so the factors multiply to get the whole equation.
(x-2)(x+2)

Then, interpret the factors.
The zeros can be found at (2,0) and (-2,0).
x=2, x=-2

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Solve 4 - 2(-5a - 10)=30 and justify each step

Sergeeva-Olga [200]

First you would do parenthesis according to the PEMDAS(Parenthesis, Exponents, Multiply, Divide, Add, Subtract) Rule

4 -2(-5a -10) = 30

4 + 10a + 20 = 30

Now you need to add 4 and 20 because they are on the same side

24 + 10a = 30

Now subtract 24 on both sides

24 + 10a = 30

-24. -24

10a = 6

Last divide 10 from both sides

10a/10. = 6/10

a= 6/10

Last simplify (optional but recommended)

a = 3/5 or 0.6

Hope this helped :)

A = 0.6

5 0

3 years ago

6&7 please...............

pychu [463]

There the same so -37

8 0

3 years ago

Which function forms a geometric sequence when x = 1, 2, 3, ...?

jeka94

The geometric sequence is found in the relationship between consecutive terms that is constant.
In this problem, as I understand it, none of the functions forms a geometric sequence.
The functions that form a geometric sequence have the form
f (x) = h (a) ^ n where "a" is the constant relation between the successive terms.
If you wrote the function "f (x) = - 2 (3/4) x", you wanted to write instead:
f (x) = - 2 (3/4) ^ x
So that would be the function that forms a geometric sequence, where the relation between the consecutive terms is 3/4.
You can test it by dividing f (x) / f (x-1)
Then you will see that the result of that division will be 3/4.

4 0

3 years ago

Mike took clothes to the cleaners three times last month. First, brought 4 shirts and of slacks and paid $11.45. Then brought

GenaCL600 [577]

Complete Question:

Mike took clothes to the cleaners three times last month. First, brought 4 shirts and 1 pair of slacks and paid $11.45. Then brought 7 shirts, 2 pairs of slacks, and 2 sports and paid $35.39. Finally, brought 5 shirts and 2 sports and paid $21.43 . How much was charged for each shirt, each pair of slacks, and each sports coat?

Answer:

The charges

For each Shirt = $1.49

For each pair of slacks = $5.49

For each sports coat = $6.99

Step-by-step explanation:

Let Shirt = a

Let pair of slacks = b

Let sports coat = c

First, brought 4 shirts and 1 pair of slacks and paid $11.45

= 4a + b = 11.45 ..........Equation 1

b = 11.45 - 4a

Then brought 7 shirts, 2 pairs of slacks, and 2 sports and paid $35.39

= 7a + 2b + 2c = 35.39.........Equation 2

5 shirts and 2 sports and paid $21.43

5a + 2c = 21.43............Equation 3

Hence:

4a + b = 11.45 ..........Equation 1

7a + 2b + 2c = 35.39.........Equation 2

Using elimination method

Multiply Equation 2 by the coefficient of b = 1 in Equation 1

Multiply Equation 1 by the coefficient of b = 2 in Equation 2

8a + 2b = 22.9 .......Equation 4

7a + 2b + 2c = 35.39.........Equation 2

Subtracting Equation 2 from Equation 4

= a - 2c = -12.49 ........Equation 5

a = -12.49 + 2c

Subtituting -12.49 + 2c for a in Equation 3

5a + 2c = 21.43............Equation 3

5(-12.49 + 2c) + 2c = 21.43

= -62.45 + 10c + 2c = 21.43

Collecting like terms

10c + 2c = 21.43 + 62.45

12c = 83.88

c = 83.88/12

c = 6.99

5a + 2c = 21.43............Equation 3

Substituting 6.99 for c in Equation 3

5a + 2(6.99) = 21.43

5a + 13.98 = 21.43

5a = 21.43 - 13.98

5a = 7.45

a = 7.45/5

a = 1.49

4a + b = 11.45 ..........Equation 1

Substituting 1.49 for a in Equation 1

4(1.49) + b = 11.45

b = 11.45 - 4(1.49)

b = 11.45 - 5.96

b = 5.49

Therefore, since the charges

For each shirt = a

The charges for each Shirt = $1.49

For each pair of slacks = b

The charges for each pair of slacks = $5.49

For each sports coat = c

The charges for each sports coat = $6.99

3 0

3 years ago

Solve for v.<br> Simplify your answer as much as possible.<br><br> 5+2v=3

Ksenya-84 [330]

Answer:

v= -1

Step-by-step explanation:

5+2v=3

2v=3-5

2v= -2

v= -2/2

v= -1

5 0

3 years ago

Read 2 more answers